derived function vs differential coefficient

derived function and differential coefficient both are nouns.

Word	Noun	Adjective	Verb	Adverb
derived function	Yes	No	No	No
differential coefficient	Yes	No	No	No

As nouns, derived function and differential coefficient are synonyms defined as:

derived function and differential coefficient: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx

Other synonyms of derived function include derivative, differential, first derivative.

derived function (noun)	differential coefficient (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx	the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx